Evolutionary Processes in Quantum Decision Theory

Yukalov, V. I.

doi:10.3390/e22060681

“…In the quantum-like modeling, a biosystem is characterized from the purely information processing viewpoint, i.e., its size and other scales, say of temperature, are not important. As was shown in numerous studies (mainly in cognition, psychology, decision making, but even microbiology) [19]- [60], in some contexts biosystems process information in accordance with the quantum laws. Thus, they can be considered as quantum-like (although not genuinely quantum).…”

Section: Quantum-like Modelsmentioning

confidence: 99%

Order-Stability in Complex Biosystems from the Viewpoint of the Theory of Open Quantum Systems

Khrennikov¹,

Watanabe²

2021

Preprint

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0

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This paper is our attempt on the basis of physical theory to bring more clarification on the question ``What is life?'' formulated in the well-known book of Schr\"odinger in 1944. According to Schr\"odinger, the main distinguishing feature of biosystem's functioning is the ability to preserve its order structure or, in the mathematical terms, to prevent increasing of entropy. Since any biosystem is fundamentally open, it is natural to use open system's theory. However, Schr\"odinger's analysis shows that the classical theory is not able to adequately describe the order-stability in a biosystem. Schr\"odinger should also appeal to the ambiguous notion of negative entropy. We suggest to apply the quantum theory. As is well-known, behaviour of the quantum von Neumann entropy crucially differs from behaviour of the classical entropy. We consider a complex biosystem $S$ composed of many subsystems, say proteins, or cells, or neural networks in the brain, i.e., $S=(S_i).$ We study the following problem: if the composed system $S$ can preserve the ``global order'' in the situation of increase of local disorder and if $S$ can preserve its entropy while some of $S_i$ increase their entropies We show that within quantum information theory the answer is positive. The significant role plays entanglement of the subsystems states. In the absence of entanglement, increasing of local disorder generates disorder increasing in the compound system $S$ (as in the classical regime).

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“…In the quantum-like modeling, a biosystem is characterized from the purely information processing viewpoint, i.e., its size and other scales, say of temperature, are not important. As was shown in numerous studies (mainly in cognition, psychology, decision making, but even microbiology) [20]- [61], in some contexts biosystems process information in accordance with the quantum laws. Thus, they can be considered as quantum-like (although not genuinely quantum).…”

Section: Quantum-like Modelsmentioning

confidence: 99%

Order-Stability in Complex Biosystems from the Viewpoint of the Theory of Open Quantum Systems

Khrennikov¹,

Watanabe²

2020

Preprint

View full text Add to dashboard Cite

This paper is our attempt on the basis of physical theory to bring more clarification on the question ``What is life?'' formulated in the well-known book of Schr\"odinger in 1944. According to Schr\"odinger, the main distinguishing feature of biosystem's functioning is the ability to preserve its order structure or, in the mathematical terms, to prevent increasing of entropy. Since any biosystem is fundamentally open, it is natural to use open system's theory. However, Schr\"odinger's analysis shows that the classical theory is not able to adequately describe the order-stability in a biosystem. Schr\"odinger should also appeal to the ambiguous notion of negative entropy. We suggest to apply the quantum theory. As is well-known, behaviour of the quantum von Neumann entropy crucially differs from behaviour of the classical entropy. We consider a complex biosystem $S$ composed of many subsystems, say proteins, or cells, or neural networks in the brain, i.e., $S=(S_i).$ We study the following problem: if the composed system $S$ can preserve the ``global order'' in the situation of increase of local disorder and if $S$ can preserve its entropy while some of $S_i$ increase their entropies We show that within quantum information theory the answer is positive. The significant role plays entanglement of the subsystems states. In the absence of entanglement, increasing of local disorder generates disorder increasing in the compound system $S$ (as in the classical regime).

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“…In particular, the role of the physical space is diminished essentially; the quantum information scenarios is written for the information space. Tremendous development of quantum information theory endowed with experimental and technological applications stimulated its use outside of physics, especially in cognition, psychology, decision making, social and political science, economics and finance see pioneer works [17]- [19], monographs [20]- [25] and some papers [26]- [64]. Such modeling is known as quantum-like.…”

Section: Introductionmentioning

confidence: 99%

Cooperative Functioning of Unconscious and Consciousness From Theory of Open Quantum Systems

Khrennikov¹

2021

Preprint

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We present the mathematical model of cooperative functioning of unconscious and consciousness. The model is based on the theory of open quantum systems. Unconscious and consciousness are treated as bio-information systems. The latter plays the role a measurement apparatus for the former. States of both systems are represented in Hilbert spaces. Consciousness performs measurements on the states which are generated in unconscious. This process of unconscious-conscious interaction is described by the scheme of indirect measurements. This scheme is widely used in quantum information theory and it leads to the theory of quantum instruments (Davis-Lewis-Ozawa). Our approach is known as quantum-like modeling. It should be sharply distinguished from modeling of genuine quantum physical processes in biosystems, in particular, in the brain. In the quantum-like framework, the brain is a black box processing information in the accordance with the laws of quantum theory. During the last 10-15 years this framework has been actively used in cognition, psychology, decision making, social and political sciences. The quantum-like scheme of unconscious-consciousness functioning has already been explored for sensation-perception modeling.

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Evolutionary Processes in Quantum Decision Theory

Cited by 35 publications

References 115 publications

Order-Stability in Complex Biosystems from the Viewpoint of the Theory of Open Quantum Systems

Order-Stability in Complex Biosystems from the Viewpoint of the Theory of Open Quantum Systems

Order-Stability in Complex Biosystems from the Viewpoint of the Theory of Open Quantum Systems

Cooperative Functioning of Unconscious and Consciousness From Theory of Open Quantum Systems

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